To obtain the square root of a number, it is solved by looking for numbers that, when raised to the square, give you the original number that you want to take its square root, and if there is no number that, when raised to the square, gives you the original number, look for two or more numbers that when multiplied give the original and of those that you multiply you take the square root of those that you have and those come out of the root while those that do not have a root stay within it.
What do you need to do the square root of 9?
- Pencil
- Notebook
Instructions to do the square root of 9
The square root of 9 is an easy procedure, we explain below the procedure that you must carry out to obtain its result:
- We know that there is a number which when squared gives 9, that number is 3.
- When a squared number is inside a root, the exponent and root are removed.
- When applying step number two, the absolute value of the number remains. Which is the same as saying ± the number.
Now we will do an example with numbers on how to take the root of 9.
- We do √9, and the number we must square is 3, therefore √9=√3 2
- Now, we know that when we square the three, the root and the square go away, leaving √9=±
Another simple example is √49
7×7=49
√49=√7 2 =±
Simplifying square roots
Another way to take the square root of a number, or to simplify it so that it can be seen better, when the number does not have any number that, by raising it to the square of it, we look for a way to get two or more numbers than by multiplying them in as a result the original and one of them has root so that it can get out of this. A simple example is that of √8, which we will explain as follows:
- No number raised to the square equals 8
- We know that 4×2=8, and √4=2.
- The 2 comes out because it is the root of four
- The other 2 that does not have a root remains inside
- Finally, √8=2√2.
Calculating the square root of a fractional number
To take the square root of a number that is fractional, place the root of the number above and the number below, and do either of the two previous procedures.
As for example 1/9, a very simple procedure that we will explain below:
- √1/√9 left
- We know that the root of 1 is equal to ±1
- We know that the root of 9 is equal to 3
- In this way the result of √1/√9=1/3
Recommendations on the calculation of roots
- If they only ask you for the result of the root, it is placed with the “±”
- If it is an equation or a problem, take the value indicated, either positive or negative.
It is that simple to take the root of nine, and with that same explanation it will be very easy to take the square root of any number.
All these were a few simple steps on how to take the root of a number, especially that of √9, whether there is a number that when raised to the square of this as a result or not, there are also roots that give with decimal numbers, but for this the process is already more complicated and can be solved with a calculator or a test can be applied, which is a slightly more complex method that requires more calculations, even so it is possible to do them without a calculator.